robert7248
robert7248 robert7248
  • 03-05-2019
  • Mathematics
contestada

What is the maximum number of turns in the graph of this function?

[tex]f(x) = x^4-x^3+3x+1[/tex]

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-05-2019

Answer:

The maximum number of turns is 3

Step-by-step explanation:

The given function is

[tex]f(x)=x^4-x^3+3x+1[/tex]

The degree of this polynomial is 4.

If the degree of a given polynomial is n, then the polynomial has at least n-1 turns.

Therefore the number of turns of this 4th degree polynomial is at least 3.

Answer Link

Otras preguntas

Paolo pays $244 for 5 identical calculators. About how much does Paolo pay for one calculator?
what is the difference between early women and modern women
The word which means to cut into two parts is _____. dichotomy morphology nomenclature
what is 221 divided by 82,889
Humans have used food processing to preserve the length of time that food can be eaten. Chemicals are added to the food to reduce bacterial growth, produce less
A measurement of the amount of solute that is dissolved in a given quantity of solvent; usually expressed as mol/L.
Corey needs 24 boards that are 47 1/2 long. How many feet of boards should he buy
cameron has 42.5 pounds of coffee.If she splits the coffee into 2.5 pound bags how many bags will she need?
A store has a sale on books. The price is $17.55 for one book, $16.70 each for 2 books, $15.85 each for 3 books, and $15 each for 4 books. If this pattern conti
too much skepticism can